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The Method of Differential Approximation (Scientific Computation) epub download

by Y.I. Shokin,K.G. Roesner


Scientific Computation. The Method of Differential Approximation.

Scientific Computation. The treatment of the approximation of gas dynamic equations focuses on the question of how to characterize the typical features of difference equations on the basis of the related differential approximation, which can be discussed using the fully developed theory of partial differential equations. Translated by. Roesner, .

This book presents the subject simply and systematically, giving graduate students and practitioners a better understanding and enabling them to apply the methods in practice.

The organization of scientific investigations in the given fields is shown. Method of differential approximation. Application to gas dynamics.

Flow computations at the high performance computing Center Stuttgart . During my stay at Freiburg University I invited Dr. . Doubling the experience of translating the book of .

Flow computations at the high performance computing Center Stuttgart (HLRS). 2004, Krause E. Professor Boris Zalmanovich Malkin. Shokin (now Academician) for a stay in Freiburg of some months at the Institut fur Angewandte Mathematik. From this time on we were in close contact, and some years later I met him again in Akademgorodok when I was invited for about one month. Yanenko I did the same with the monograph of . Shokin on The Method of Differential Approximation. Fifth bifurcation: Dr. rer. nat. - outside lecturer (Privatdozent).

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term is sometimes taken to mean the computation of integrals. Many differential equations cannot be solved using symbolic computation ("analysis"). For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient

The aim of the Programme was to present new developments in Constructive Approximation Theory.

The aim of the Programme was to present new developments in Constructive Approximation Theory.

Audience: the book is written primarily for students of applied mathematics, scientific computing, and mechanics

Audience: the book is written primarily for students of applied mathematics, scientific computing, and mechanics. Most of the material is directed toward graduate students, although a portion of it is suitable for senior undergraduate students.

is computed through the neighbouring point values fj f(Uj) by a flux limiter, or a finite difference WENO procedure. fˆi+12 ∑r 0k−1wrfˆi+12(r), where the nonlinear weights wr satisfy wr ≥ 0, ∑r 0k−1wr 1.

This article is cited in 1 scientific paper (total in 1 paper). Full text: PDF file (1801 kB). English version: Proceedings of the Steklov Institute of Mathematics, 1973, 122, 67–86. The method of the first differential approximation in the theory of difference schemes for hyperbolic systems of equations. Bibliographic databases: UDC: 51. 32. Citation: Yu. I. Shokin, The method of the first differential approximation in the theory of difference schemes for hyperbolic systems of equations, Difference methods for solutions of problems of mathematical physics

Methods for obtaining analytical expressions (formulas) or numerical values which approximate to some degree of accuracy the required particular solution of a differential equation or of a system of equations for one or more values of the argument

Methods for obtaining analytical expressions (formulas) or numerical values which approximate to some degree of accuracy the required particular solution of a differential equation or of a system of equations for one or more values of the argument. The importance of approximate methods of solution of differential equations is due to the fact that exact solutions in the form of analytical expressions are only known for a few types of differential equations.

I am very glad that this book is now accessible to English-speaking scientists. During the three years following the publication of the original Russian edition, the method of differential approximation has been rapidly expanded and unfortunately I was unable to incorporate into the English edition all of the material which whould have reflected its present state of development. Nevertheless, a considerable amount of recently obtained results have been added and the bibliography has been enlarged accordingly, so that the English edition is one third longer than the Russian original. Mathematical rigorousness is a basic feature of this monograph. The reader should therefore be familiar with the theory of partial differential equations and difference equations. Some knowledge of group theory as applied to problems in physics, especially the theory of Lie groups, would also be useful. The treatment of the approximation of gas dynamic equations focuses on the question of how to characterize the typical features of difference equations on the basis of the related differential approximation, which can be discussed using the fully developed theory of partial differential equations.

The Method of Differential Approximation (Scientific Computation) epub download

ISBN13: 978-3540122258

ISBN: 3540122257

Author: Y.I. Shokin,K.G. Roesner

Category: Math and Science

Subcategory: Physics

Language: English

Publisher: Springer; 1 edition (June 27, 1983)

Pages: 298 pages

ePUB size: 1907 kb

FB2 size: 1743 kb

Rating: 4.5

Votes: 211

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